Add to ORKGIn this paper, we establish a global regularity result for the optimal transport problem with the quadratic cost, where the domains may not be convex. This result is obtained by a perturbation argument, using a recent global regularity of optimal transportation in convex domains by the authors
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
In this talk, we give some estimates for solutions to the Monge-Amp`ere equation arising in optimal ...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
We develop an ε-regularity theory at the boundary for a general class of Monge–Ampère type equation...
This thesis is devoted to the regularity of optimal transport maps. We provide new results on this p...
We provide a different proof for the global C1,α regularity of potential functions in the optimal tr...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
In this paper we prove the strict c-convexity and the C1,α regularity for potential functions in opt...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
In this thesis we study the regularity properties of solutions to the Kantorovich optimal transporta...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
In this talk, we give some estimates for solutions to the Monge-Amp`ere equation arising in optimal ...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
We develop an ε-regularity theory at the boundary for a general class of Monge–Ampère type equation...
This thesis is devoted to the regularity of optimal transport maps. We provide new results on this p...
We provide a different proof for the global C1,α regularity of potential functions in the optimal tr...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
In this paper we prove the strict c-convexity and the C1,α regularity for potential functions in opt...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
In this thesis we study the regularity properties of solutions to the Kantorovich optimal transporta...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
In this talk, we give some estimates for solutions to the Monge-Amp`ere equation arising in optimal ...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...